ON DETERMINATION OF k-FIBONACCI AND k-LUCAS NUMBERS

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Mathematical Sciences and Applications E-Notes
Volume:3 Issue:2
ON DETERMINATION OF k-FIBONACCI AND k-LUCAS NUMBERS

ON DETERMINATION OF k-FIBONACCI AND k-LUCAS NUMBERS

Authors : Nihal Yilmaz ÖZGÜR, Öznur Öztunç KAYMAK

Pages : 20-26

Doi:10.36753/mathenot.421323

View : 34 | Download : 8

Publication Date : 2015-10-30

Article Type : Research Paper

Abstract :In this study we investigate some properties of the k-Fibonacci and k-Lucas sequences which are generalize the classical Fibonacci and Lucas sequences. Moreover, two efficient tests are introduced as to whether or not a positive integer is k-Fibonacci or k-Lucas.
Keywords : k Fibonacci number, k Lucas number, Binet formula

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